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Flura [38]
3 years ago
13

A roll of tape has a circumference of 14.8 centimeters. The circumference decreases 2.4 centimeters after you use some of the ta

pe. What is the diameter of the roll after you use the tape? ROUND to the nearest HUNDREDTH. I need answers quick
Mathematics
1 answer:
Lelu [443]3 years ago
6 0

Answer:

7.900 cm

Step-by-step explanation:

The computation of the diameter after using the tape is given below:

Since the circumference is 14.8 cm

And it would be decrease by 2.4 cm

So, the new circumference is

= 14.8 - 2.4

= 12.4 cm

Now the radius is

= 12.4 ÷ π

= 3.95

And, the diameter is

= 3.95 × 2

= 7.900 cm

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Fudgin [204]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?
seraphim [82]

Answer:

P\left(E\right)=\frac{55}{1024}

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

nCr=\frac{n!}{r!\left(n-r\right)!}

Plug in n = 12 and r = 9

       =\frac{12!}{9!\left(12-9\right)!}

       =\frac{12!}{9!\cdot \:3!}

       =\frac{12\cdot \:11\cdot \:10}{3!}            ∵ \frac{12!}{9!}=12\cdot \:11\cdot \:10

       =\frac{1320}{6}                   ∵ 3!\:=\:3\times 2\times 1=6

       =220

Thus, the probability will be:

P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}

         =\frac{220}{4096}

         =\frac{55}{1024}

Thus, the probability of the coin landing tails up exactly nine times will be:

P\left(E\right)=\frac{55}{1024}

4 0
3 years ago
A shopper paid $2.52 for 4.5 pounds of potatoes and $7.75 for 2.5 pounds of broccoli. What is the unit price of each item she bo
Maurinko [17]
<h3>Unit price is $ 0.56 per pound of potatoes</h3><h3>Unit price is $ 3.1 per pound of broccoli</h3>

<em><u>Solution:</u></em>

Given that,

Unit price is the price of 1 unit

\textrm{Unit Price} = \frac{\textrm{Total cost on n products}}{\textrm{n}}

<h3><u>Find unit price of potatoes</u></h3>

A shopper paid $2.52 for 4.5 pounds of potatoes

Unit\ Price = \frac{2.52}{4.5}\\\\Unit\ Price = 0.56

Thus unit price is $ 0.56 per pound of potatoes

<h3><u>Find unit price of broccoli</u></h3>

$7.75 for 2.5 pounds of broccoli

Unit\ Price = \frac{7.75}{2.5}\\\\Unit\ Price = 3.1

Thus unit price is $ 3.1 per pound of broccoli

5 0
3 years ago
Translate the algebraic expression shown below into a verbal expression.
yaroslaw [1]
The quotient of some number and four.
6 0
3 years ago
1.2x=6 what is the answer
kifflom [539]

Answer:

To figure this out we need to balance out the equation.

When a number is right next a variable, it is considered as multiplication. So, to balance the equation we need to divide.

Step-by-step explanation:

1.2/1.2 =x

1.2/6=5

Answer; x=5

7 0
3 years ago
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